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Finding the Third Proportional to 567,636.19 and 946,024.31

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Solution

The third proportional to 567,636.19 and 946,024.31 is: 1,576,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,636.19 : 946,024.31 = 946,024.31 : x
  2. Step 2: Convert to fraction form
    567,636.19/946,024.31 = 946,024.31/x
  3. Step 3: Cross multiply
    567,636.19x = 946,024.31 × 946,024.31
  4. Step 4: Simplify right side
    567,636.19x = 894,961,999,841.10
  5. Step 5: Solve for x
    x = 894,961,999,841.10/567,636.19
  6. Step 6: Final answer
    x = 1,576,647.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.